Eigenvalues in spectral gaps of differential operators
type: Item
instance of: scholarly article
title: Eigenvalues in spectral gaps of differential operators
zbMATH Open document ID: 1256.65079
DOI: 10.4171/JST/30
published in: Journal of Spectral Theory
publication date: 2012-08-11T00:00:00Z
review text: This paper presents a method for calculating eigenvalues in the gaps of self-adjoint operators that avoids spectral pollution. This is done by perturbing the problem into a dissipative problem in which the eigenvalues to be calculated are removed from the convex hull of the essential spectrum. This allows for standard numerical methods to work efficiently. The technique is applied to the one-dimensional Schrödinger equation on the half line.
reviewed by: Kevin Burrage
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 6064845
zbMATH Keywords: spectral pollution
zbMATH Keywords: dissipative
zbMATH Keywords: Schrödinger
zbMATH Keywords: spectral gap
zbMATH Keywords: spectral band
zbMATH Keywords: essential spectrum
zbMATH Keywords: discretization
zbMATH Keywords: variational method
zbMATH Keywords: eigenvalues
zbMATH Keywords: self-adjoint operators
zbMATH Keywords: Schrödinger equation
author: Marco Marletta
author: Robert Scheichl
MaRDI profile type: Publication
Wikidata QID: Q115180772
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description: scientific article; zbMATH DE number 6064845